Which event is most likely to happen?

Question

randomly picking a vowel letter from the English alphabet
randomly picking a consonant from the English alphabet
getting a 6 when rolling a single dice once
getting a head from a single toss of a fair coin

Answer 1

Let's analyze the probabilities of each event:

1. Randomly picking a vowel from the English alphabet: The English alphabet has 5 vowels (A, E, I, O, U) out of 26 letters total. The probability of picking a vowel is \( \frac{5}{26} \).

2. Randomly picking a consonant from the English alphabet: There are 21 consonants in the English alphabet. The probability of picking a consonant is \( \frac{21}{26} \).

3. Getting a 6 when rolling a single die once: A standard die has 6 faces, so the probability of rolling a 6 is \( \frac{1}{6} \).

4. Getting a head from a single toss of a fair coin: A fair coin has 2 sides (heads and tails), so the probability of getting heads is \( \frac{1}{2} \).

Now, let's compare the probabilities:

• Picking a vowel: \( \frac{5}{26} \approx 0.192 \)
• Picking a consonant: \( \frac{21}{26} \approx 0.808 \)
• Getting a 6: \( \frac{1}{6} \approx 0.167 \)
• Getting heads: \( \frac{1}{2} = 0.5 \)

Among these, picking a consonant from the English alphabet (probability \(\approx 0.808\)) is the most likely event.